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  2. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    In particular, in these two identities an asymmetry appears that is not seen in the case of sums of finitely many angles: in each product, there are only finitely many sine factors but there are cofinitely many cosine factors. Terms with infinitely many sine factors would necessarily be equal to zero. When only finitely many of the angles are ...

  3. Maxima (software) - Wikipedia

    en.wikipedia.org/wiki/Maxima_(software)

    Maxima (/ ˈ m æ k s ɪ m ə /) is a powerful software package for performing computer algebra calculations in mathematics and the physical sciences. It is written in Common Lisp and runs on all POSIX platforms such as macOS, Unix, BSD, and Linux, as well as under Microsoft Windows and Android.

  4. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    Finite element software for structural, geotechnical, heat transfer and seepage analysis: Intuition Software: 5.11: 2016-01: Proprietary software: Free educational version available [17] Mac OS X, Windows: JCMsuite: Finite element software for the analysis of electromagnetic waves, elasticity and heat conduction: JCMwave GmbH: 5.4.3: 2023-03-09 ...

  5. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    This free software had an earlier incarnation, Macsyma. Developed by Massachusetts Institute of Technology in the 1960s, it was maintained by William Schelter from 1982 to 2001. In 1998, Schelter obtained permission to release Maxima as open-source software under the GNU General Public license and the source code was released later that year.

  6. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    Many texts write φ = tan −1 ⁠ y / x ⁠ instead of φ = atan2(y, x), but the first equation needs adjustment when x ≤ 0. This is because for any real x and y , not both zero, the angles of the vectors ( x , y ) and (− x , − y ) differ by π radians, but have the identical value of tan φ = ⁠ y / x ⁠ .

  7. Finite field arithmetic - Wikipedia

    en.wikipedia.org/wiki/Finite_field_arithmetic

    There are infinitely many different finite fields. Their number of elements is necessarily of the form p n where p is a prime number and n is a positive integer, and two finite fields of the same size are isomorphic. The prime p is called the characteristic of the field, and the positive integer n is called the dimension of the field over its ...

  8. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science.

  9. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series.Generating functions are often expressed in closed form (rather than as a series), by some expression involving operations on the formal series.